Question

Under a dilation, triangle XYZ where X(1, 3), Y(-2, -4), and Z(5, -2.5) becomes triangle X’Y’Z’ where X’(2.5, 7.5), Y’(-5, -10), and Z’(12.5, -6.25). What is the scale factor for this dilation?
Answers
2/5
-2/5

2.5
-2.5

Answer 1

seriously.. ^

Answer 2

is it -2.5 ?

Answer 3

The scale factor of a dilation is the x-coordinate of a point of the image divided by the x-coordinate of the original point.
Try with different points, and with the y-coordinate to be sure of your answer.

Answer 4

-2.5 is not right, but you seem to have an idea.

Answer 5

eh.. idk. hah

Answer 6

would it be in a fraction like 2/5 ?

Answer 7

Did you have a chance to look at my previous comment?

Answer 8

yeah but its confusing to me hah

Answer 9

Choose a point, say X.
What is the x-coordinate of X'? and
What is the x-coordinate of X?

Answer 10

1 and 2.5 ?

Answer 11

Well, x of X' (image) is 2.5
x of X (original point) is 1
The dilation factor is
x of image / x of original point
Do you get it?

Answer 12

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Answer 13

yeah I got it kinda. so then it would be 2.5?

Answer 14

Exactly.
Now double check with other points, or with y-coordinates.
You should get the same value.

Answer 15

yeah I did :) thanks.

Answer 16

way to go! :)